Given numbers are 420,516,258,691

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 420,516,258,691 is 12479460.

Find LCM of 420,516,258,691 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 43 x 35 x 1 x 1 x 691 = 12479460

Therefore, the lowest common multiple of 420,516,258,691 is 12479460.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

420 x 516 x 258 x 691 = 38636408160

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

258 : 1, 2, 3, 6, 43, 86, 129, 258

691 : 1, 691

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,516,258,691, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

516:2x 2x 3x 43

258:2x 3x 43

691:691

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 43 = 3096

Therefore, the value for common factors is 3096.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 38636408160/(1x3096)

LCM = 38636408160/3096

LCM = 12479460

Thus, we can understand that the LCM of 420,516,258,691 is 12479460.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 507, 445, 128, 417
• LCM of 921, 171, 642, 320
• LCM of 151, 878, 522, 596
• LCM of 519, 597, 358, 486
• LCM of 520, 146, 921, 155

1. What is the LCM of 420, 516, 258, 691?

Answer: LCM of 420, 516, 258, 691 is 12479460.

2. How to calculate the LCM of 420, 516, 258, 691?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 420, 516, 258, 691.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.